Exam 16: Electric Forces and Fields

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Three point charges are positioned as follows: q1 is at (0.00 m, 0.00 m), q2 is at (1.20 m, 0.00 m), and q3 is at (1.20 m, 1.60 m). If q1 = 1.00 µC, q2 = 2.00 µC, and q3 = 3.00 µC, in what direction (ccw from the x-axis) is the force on q2?

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Consider a point charge and an imaginary spherical surface surrounding it. Which of the following situations would bring about a change in the electrical flux through the surface?

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We find from Gauss's law that the flux through a closed surface

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A 1.65 nC charge experiences an acceleration of 6.33 × 107 m/s2 in an electric field. What is the magnitude of the electric field?

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Three charges are located along a horizontal straight line. The charge on the left has a force of 6.00 N on it to the left. The charge in the middle has a force on it of 4.00 N to the right. What is the force on the charge on the right?

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The symbols ρ, λ, and σ are used to represent, respectively, the charge density per unit

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Three point charges are positioned as follows: q1 is at (0.00 m, 0.00 m), q2 is at (1.20 m, 0.00 m), and q3 is at (1.20 m, 1.60 m). If q1 = 1.00 µC, q2 = 2.00 µC, and q3 = 3.00 µC, what is the magnitude of the force on q2?

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An electrically neutral metal sphere hangs from an insulating thread. A charged glass wand is brought near to the sphere. Describe what occurs next.

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Two point charges are on the x-axis. One charge, q1 = 10.0 nC, is located at the origin, and the other charge, q2 = 18.0 nC, is located at x = 9.00 m. What is the force on q2?

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A long wire with uniform linear charge density 1.35 nC/m is surrounded by a concentric cylindrical surface of length 1.60 m and radius 23.6 cm. What is the magnitude of the electric field at the curved surface of the cylinder?

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A thin metallic shell of radius 40 cm has a charge of −25 nC on it. At the center of the sphere is a point charge of 35 nC. What is the electric field 50 cm from the center of the shell?

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A thin spherical shell of radius 20.0 cm has 5.0 µC of charge uniformly distributed over its surface. What is the magnitude of the electric field 2.00 m from the center of the sphere?

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A 1.00 nC charge is placed on the x-axis at x = −1.00 m. A second 1.00 nC charge is placed on the x-axis at x = 1.00 m. A third charge of 1.00 nC is placed on the y-axis at y = −1.00 m. A fourth charge is place on the y-axis at y = 1.00 m. What is the fourth charge if the electric field at the origin is zero?

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A cylinder contains a charge Q. The flux through the curved side of the container is 3πkQ. What is the flux through the ends of the cylinder?

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A horizontally projected beam of protons travels at 55 km/s into the space between two horizontal, parallel plates. The plates are separated by 7.4 cm, and they are 12 cm long. There is a uniform electric field between the plates of unknown strength. The beam enters the region exactly midway (vertically) between the plates and exits the region 7.2 microns closer to the lower plate. If it were a beam of electrons instead, everything else being the same, at what height above the lower plate would the beam exit the region between the plates? The proton mass is 1.67 × 10-27 kg, and electron mass is 9.11 × 10-31 kg.

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What is the magnitude of the acceleration of an electron when in an electric field of magnitude 7.0 × 104 N/C?

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An electron is fired through the space between two oppositely charged, parallel plates. The plates form a 2.00 cm long region with an electric field of 4000 N/C perpendicular to the electron's initial velocity. What is the change in velocity of the electron after it passes through the plates?

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Two charges are separated by a distance d. If one the charges is doubled while the other is tripled, what happens to the force between the charges?

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The electron orbiting the proton in the hydrogen atom is at a distance of 5.3 × 10-9 m. What is the magnitude of the electric force between the proton and the electron?

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A thin metallic spherical shell of radius 50 cm has a total charge of 4.0 µC placed on it. At the center of the shell is placed a point charge of 2.00 µC. What is the electric field at a distance of 90 cm from the center of the spherical shell?

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